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Finding the Third Proportional to 127.91 and 278.12

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Solution

The third proportional to 127.91 and 278.12 is: 604.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.91 : 278.12 = 278.12 : x
  2. Step 2: Convert to fraction form
    127.91/278.12 = 278.12/x
  3. Step 3: Cross multiply
    127.91x = 278.12 × 278.12
  4. Step 4: Simplify right side
    127.91x = 77,351.34
  5. Step 5: Solve for x
    x = 77,351.34/127.91
  6. Step 6: Final answer
    x = 604.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.